Find x,y,z if AB||CD
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in fig 1
y = z =76
x = 72
in fig 2
y= x = 130
z = 80
avidyakamath:
How did you get X in fig. 1 72
Answered by
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Hey mate..
Here is your answer..☺☺
##1st Figure :
=> 76 degrees = z ( corresponding angles )
=> y = z = 76 degrees ( vertically opposite angles )
=> d = angle beside z = 39 degree ( corresponding angles )
=> x + z + d = 180 degree ( angles on a straight line )
=x + 76 + 39 degrees = 180 degree
= x + 115 degrees = 180 degree
=x = 180 degrees - 115 degrees
= x = 65 degrees
THEREFORE
X = 65 DEGREES
Y = 76 DEGREES
Y = 76 DEGREES
##2nd Figure :
=> x = 130 degrees ( corresponding angles )
=> y = 130 degrees ( vertically opposite angles )
=> z + 50 degrees = y ( corresponding angles )
= z + 50 degrees = 130 degrees
= z = 130 degrees - 50 degrees
= z = 80 degrees
THEREFORE
X = 130 DEGREES
Y = 130 DEGREES
Z = 80 DEGREES
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